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Fibrewise separation axioms for locales

Published online by Cambridge University Press:  24 October 2008

P. T. Johnstone
P. T. Johnstone
Affiliation:
Department of Pure Mathematics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB
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Abstract

In this paper we study the weak versions of the fibrewise separation axioms for locales over a base locale, whose introduction has been made possible by the development, in a previous paper by the author, of the fibrewise notion of closure for sublocales of locales over a base. We establish the implications which hold between these axioms and the traditional separation axioms for locales, and give counter-examples to show that some of these implications are irreversible.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 247 - 256
Copyright
Copyright © Cambridge Philosophical Society 1990

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